Stanley O. Juriaans

Natural Topologies on Colombeau Algebras

We define intrinsic, natural and metrizable topologies n

The sharp topology on the full Colombeau algebra of generalized functions

{mathcal T}_{Omega}

Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus

,

Units in Alternative Integral Loop Rings

{mathcal T}

Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context

,

FINITE CONJUGACY IN ALGEBRAS AND ORDERS

{mathcal T}_{s,Omega}

Units in orders and integral semigroup rings

nand

Torsion units in integral group rings

{mathcal T}_s

A Discontinuous Colombeau Differential Calculus

in

Finite subgroups in integral group rings

{mathcal G}(Omega)